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Finding the Fourth Proportional to 22,294.96, 30,768.54 and 12,864.16

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Solution

The fourth proportional to 22,294.96, 30,768.54 and 12,864.16 is: 17,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,294.96 : 30,768.54 = 12,864.16 : x
  2. Step 2: Convert to fraction form
    22,294.96/30,768.54 = 12,864.16/x
  3. Step 3: Cross multiply
    22,294.96x = 30,768.54 × 12,864.16
  4. Step 4: Simplify right side
    22,294.96x = 395,811,421.53
  5. Step 5: Solve for x
    x = 395,811,421.53/22,294.96
  6. Step 6: Final answer
    x = 17,753.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.